FUEL SUPPLY SYSTEM FOR ENGINE, FUEL INJECTION CONTROL DEVICE FOR ENGINE, AND FUEL SUPPLY METHOD FOR ENGINE

A fuel supply system includes an injector, an air flow meter, and an engine controller. The engine controller includes a fuel supply amount setting unit, a fuel cut controller, a fuel supply amount correcting unit, and an injector controller. The fuel supply amount setting unit sets a fuel supply amount on the basis of an intake air amount. The fuel cut controller executes and ends a fuel cut. The fuel supply amount correcting unit increases, on the basis of a reverse air amount, the fuel supply amount after the fuel cut in at least one cylinder, with respect to a basic supply amount corresponding to the intake air amount. An amount of the increase is greater at an initial fuel supply than in fuel supply at a second time and onward. The injector controller outputs, to the injector, a signal corresponding to the increased fuel supply amount.